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Finding the Third Proportional to 371.13 and 575.19

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Solution

The third proportional to 371.13 and 575.19 is: 891.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    371.13 : 575.19 = 575.19 : x
  2. Step 2: Convert to fraction form
    371.13/575.19 = 575.19/x
  3. Step 3: Cross multiply
    371.13x = 575.19 × 575.19
  4. Step 4: Simplify right side
    371.13x = 330,840.66
  5. Step 5: Solve for x
    x = 330,840.66/371.13
  6. Step 6: Final answer
    x = 891.45

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.